Bifurcation and Chaos Analysis of Nonlinear Rotor System with Axial-grooved Gas-lubricated Journal Bearing Support  

作　　者：ZHANG Yongfang HEI Di Lü Yanjun WANG Quandai MüLLER Norbert 

机构地区：[1]School of Printing and Packaging Engineering, Xi'an University of Technology [2]State Key Laboratory of Mechanical Transmission, Chongqing University [3]College of Engineering, Michigan State University [4]School of Mechanical and Precision Instrument Engineering, Xi'an University of Technology [5]Department of Mechnical and Electrical Engineering Shaanxi Railway Institute

出　　处：《Chinese Journal of Mechanical Engineering》2014年第2期358-368,共11页中国机械工程学报（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.51075327);National Key Basic Research and Development Program of China(973 Program,Grant No.2013CB035705);Shaanxi Provincial Natural Science Foundation of China(Grant No.2013JQ7008);Open Project of State Key Laboratory of Mechanical Transmission of China(Grant No.SKLMT-KFKT-201011);Tribology Science Fund of State Key Laboratory of Tribology of China(Grant No.SKLTKF11A02);Scientific Research Program of Shaanxi Provincial Education Department of China(Grant Nos.12JK0661,12JK0680)

摘　　要：Axial-grooved gas-lubricated journal bearings have been widely applied to precision instrument due to their high accuracy, low friction, low noise and high stability. The rotor system with axial-grooved gas-lubricated journal bearing support is a typical nonlinear dynamic system. The nonlinear analysis measures have to be adopted to analyze the behaviors of the axial-grooved gas-lubricated journal bearing-rotor nonlinear system as the linear analysis measures fail. The bifurcation and chaos of nonlinear rotor system with three axial-grooved gas-lubricated journal bearing support are investigated by nonlinear dynamics theory. A time-dependent mathematical model is established to describe the pressure distribution in the axial-grooved compressible gas-lubricated journal bearing. The time-dependent compressible gas-lubricated Reynolds equation is solved by the differential transformation method. The gyroscopic effect of the rotor supported by gas-lubricated journal bearing with three axial grooves is taken into consideration in the model of the system, and the dynamic equation of motion is calculated by the modified Wilson-0-based method. To analyze the unbalanced responses of the rotor system supported by finite length gas-lubricated journal bearings, such as bifurcation and chaos, the bifurcation diagram, the orbit diagram, the Poincar6 map, the time series and the frequency spectrum are employed. The numerical results reveal that the nonlinear gas film forces have a significant influence on the stability of rotor system and there are the rich nonlinear phenomena, such as the periodic, period-doubling, quasi-periodic, period-4 and chaotic motion, and so on. The proposed models and numerical results can provide a theoretical direction to the design of axial-grooved gas-lubricated journal bearing-rotor system.Axial-grooved gas-lubricated journal bearings have been widely applied to precision instrument due to their high accuracy, low friction, low noise and high stability. The rotor system with axial-grooved gas-lubricated journal bearing support is a typical nonlinear dynamic system. The nonlinear analysis measures have to be adopted to analyze the behaviors of the axial-grooved gas-lubricated journal bearing-rotor nonlinear system as the linear analysis measures fail. The bifurcation and chaos of nonlinear rotor system with three axial-grooved gas-lubricated journal bearing support are investigated by nonlinear dynamics theory. A time-dependent mathematical model is established to describe the pressure distribution in the axial-grooved compressible gas-lubricated journal bearing. The time-dependent compressible gas-lubricated Reynolds equation is solved by the differential transformation method. The gyroscopic effect of the rotor supported by gas-lubricated journal bearing with three axial grooves is taken into consideration in the model of the system, and the dynamic equation of motion is calculated by the modified Wilson-0-based method. To analyze the unbalanced responses of the rotor system supported by finite length gas-lubricated journal bearings, such as bifurcation and chaos, the bifurcation diagram, the orbit diagram, the Poincar6 map, the time series and the frequency spectrum are employed. The numerical results reveal that the nonlinear gas film forces have a significant influence on the stability of rotor system and there are the rich nonlinear phenomena, such as the periodic, period-doubling, quasi-periodic, period-4 and chaotic motion, and so on. The proposed models and numerical results can provide a theoretical direction to the design of axial-grooved gas-lubricated journal bearing-rotor system.

关 键 词：axial-grooved gas journal bearing differential transformation method nonlinear BIFURCATION CHAOS 

分 类 号：TH133.31[机械工程—机械制造及自动化]